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Finding the Third Proportional to 8,261,213 and 17,894,890

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Solution

The third proportional to 8,261,213 and 17,894,890 is: 38,762,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261,213 : 17,894,890 = 17,894,890 : x
  2. Step 2: Convert to fraction form
    8,261,213/17,894,890 = 17,894,890/x
  3. Step 3: Cross multiply
    8,261,213x = 17,894,890 × 17,894,890
  4. Step 4: Simplify right side
    8,261,213x = 320,227,088,112,100
  5. Step 5: Solve for x
    x = 320,227,088,112,100/8,261,213
  6. Step 6: Final answer
    x = 38,762,720.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.